Orlicz-Pettis theorems for multiplier convergent series

DOI10.4171/ZAA/851zbMath0933.46005OpenAlexW2008722508MaRDI QIDQ1282210

Charles W. Swartz, Christopher E. Stuart

Publication date: 29 March 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/851

zbMATH Keywords

Schauder basisOrlicz-Pettis theoremmultiplier convergencemultiplier sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) General theory of locally convex spaces (46A03) Summability and bases in topological vector spaces (46A35)

Related Items (9)

Orlicz–Pettis Theorem for λ-multiplier convergent operator series ⋮ A note on multiplier convergent series ⋮ Productivity of sequences with respect to a given weight function ⋮ Bounded vector measures on effect algebras ⋮ General Orlicz--Pettis theorem ⋮ Direct sums and products in topological groups and vector spaces ⋮ Operator matrices on topological vector spaces ⋮ Productivity of sequences in non-abelian topological groups ⋮ Summability results for operator matrices on topological vector spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Theorems of the Orlicz-Pettis-type for locally convex spaces
• Unconditional convergent series on locally convex spaces
• Generalized sectional convergence and multipliers
• On a theorem of Orlicz and Pettis
• Inclusion Theorems forK-Spaces

This page was built for publication: Orlicz-Pettis theorems for multiplier convergent series